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Tidal heating is the prime suspect behind Enceladus's south polar heatinganomaly and global subsurface ocean. No model of internal tidal dissipation,however, can explain at the same time the total heat budget and the focusing ofthe energy at the south pole. I study here whether the non-uniform icy shellthickness can cause the north-south heating asymmetry by redistributing tidalheating either in the shell or in the core. Starting from the non-uniform tidalthin shell equations, I compute the volumetric rate, surface flux, and totalpower generated by tidal dissipation in shell and core. If the shell islaterally uniform, the thin shell approach predicts shell dissipation with afew percent error while the error on core dissipation is negligible. Variationsin shell thickness strongly increase the shell dissipation flux where the shellis thinner. For a hard shell with long-wavelength variations, the shelldissipation flux can be predicted by scaling with the inverse local thicknessthe flux for a laterally uniform shell. If Enceladus's shell is in conductivethermal equilibrium with isostatic thickness variations, the nominal shelldissipation flux at the south pole is about three times its value for a shellof uniform thickness, which remains negligible compared to the observed flux.The shell dissipation rate should be ten times higher than nominal in order toaccount for the spatial variations of the observed flux. Dissipation in anunconsolidated core can provide the missing power, but does not generate anysignificant heating asymmetry as long as the core is homogeneous. Non-steadystate models, though not investigated here, face similar difficulties inexplaining the asymmetries of tidal heating and shell thickness.

Enceladus's crust as a non-uniform thin shell: II tidal dissipation